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Finding the Fourth Proportional to 418,640.10, 587,145.90 and 418,640.10

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Solution

The fourth proportional to 418,640.10, 587,145.90 and 418,640.10 is: 587,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,640.10 : 587,145.90 = 418,640.10 : x
  2. Step 2: Convert to fraction form
    418,640.10/587,145.90 = 418,640.10/x
  3. Step 3: Cross multiply
    418,640.10x = 587,145.90 × 418,640.10
  4. Step 4: Simplify right side
    418,640.10x = 245,802,818,290.59
  5. Step 5: Solve for x
    x = 245,802,818,290.59/418,640.10
  6. Step 6: Final answer
    x = 587,145.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.